Title: Box-ball systems, RSK, and Motzkin pathsSpeaker: Emily Gunawan Affiliation: University of Oklahoma Location: MC 5479, please contact Olya Mandelshtam for Zoom link.
Abstract: A box-ball system (BBS) is a discrete dynamical system whose dynamics come from the balls jumping according to certain rules. A permutation on n objects gives a BBS state by assigning its one-line notation to n consecutive boxes. After a finite number of steps, a box-ball system will reach a steady state. From any steady state, we can construct a tableau called the soliton decomposition of the box-ball system.